When people ask "what a name means" they are usually asking about etymological origin. I wish we wouldn't use the phrase that way myself, but people do all the time.

And there are certainly examples of other names where there is a commonly used word with the same spelling and pronunciation but where the "meaning" in the sense of the historical derivation is not the same as the dictionary definition meaning of the word.

John, for example, did not originally mean either "toilet" or "prostitute's customer".

Bill did not originate with the meaning "notice of need for payment" or "duck's beak."

So, although probably the majority of names that have an exact correspondence with a word did originate from that word, a woman named Melody could well wonder if her name was derived from the modern word or if it had some other original meaning. :)